The pressure of a gas in a closed vessel is increased by 0.4% when heated by `1^@`C, the initial temperature of the gas is

Options

A. `23^@C`
B. `250^@C`
C. `-23^@C`
D. 300K

Answer

C

Explanation

According to Gay-Lussais law,
`P_(1)/T_(1)=P_(2)/T_(2)`
`implies 100/100.4 = T/(T+1)` [`because T_(1)=T`
`T_(2)=T=1]`
`therefore T=250K or -23^@C`